The due date for Problem Set 5 is EXTENDED to Friday, March 20 at 5 p.m. (If you already handed in solutions, you can if you wish revise them.) You can hand in solutions in class March 11 or 13; after that they should be emailed to dav@math.mit.edu. A photograph of handwritten solutions is OK; if you can submit (even a photograph) as a pdf file, that may be a bit easier for the grader to mark electronically.
MIT has canceled all classes March 13-20. Of course the following week is spring break.
Beginning Wednesday March 11, and continuing from Monday March 30, the class will be streamed at Zoom (meeting ID 910271961). I plan to record the sessions and post them to this web page later in the afternoon. The first time you click on the link you will be prompted to download (free) Zoom software, which should take only a few minutes. If you have a microphone on your computer, you will be able to ask questions during class. (Zoom allows typed messages, but I will not be able to monitor those during class.)
Because of the cancellation of classes 3/13, I will NOT record a class on Friday 3/13.
I am working to find the best system for office hours; probably I will stream those by Zoom at the presently scheduled times, but will not record the sessions. I hope to start office hours by Zoom Monday 3/30. (MIT's strong requirement to schedule "no academic exercises" until Monday 3/30 has led me NOT to schedule office hours 3/16-3/20. If you would like to meet privately by Zoom or Skype, we can easily arrange that; just email dav@math.mit.edu
David Vogan, 2-355
Telephone x3-4991
Office hours Monday 4:00-5:00 and Tuesday 2:30-3:30 (or any time).
Problem sets will be posted here. Grading from March 15 will be on Gradescope, accessible at GRADESCOPE. Registered students should already be on the class roster, with your Registrar name and MIT email address. If you have difficulty accessing this, let me know. PDF files of your solutions (which can be made from a photo of handwritten solutions if necessary) should be submitted on Gradescope by 16:00 Eastern Time on the due date (usually a Wednesday). The grader will mark the pdf files. Usually I hope to post solutions immediately after class Wednesday. This is the reason for the submission deadline. No extensions and no exceptions. The grading for the course will emphasize your best work, so missing one problem set should not have a serious effect. (In light of the emergency P/No Record grading, you would need to miss quite a few problem sets to have difficulty.)
For Problem Set 5, the grader has everything that was submitted by March 11. I will put on Gradescope files emailed to me after that date; but if _you_ can submit them to Gradescope, that will be very helpful.
First problem set due in class Wednesday,
February 12.
First problem set solutions, to be posted after class 2/12.
Second problem set due in class Wednesday, February 19.
Second problem set solutions, to be posted after class 2/19.
Third problem set due Wednesday, February 26.
Third problem set solutions, to be posted after class 2/26.
Fourth problem set due Wednesday,
March 4.
Fourth problem set solutions.
Fifth problem set due Friday,
March 20 (nine day extension).
Fifth problem set
solutions, to be posted Friday evening 3/20.
Relevant to class and to Problem Set 10 is notes on Weyl and Clifford algebras. I will be very grateful for corrections or suggestions about improvements.
Here is a set of notes on root systems, related to Chapter 7 of the text. This provides additional details on material I'll discuss in class at the end of the semester.
The notes that follow are older and not (so far) related to the 2015 course. Here
are notes on compact
classical groups.
Notes about actions of a Lie group on a manifold. You should also remember that the group SL(2,R) by its definition acts on the two-dimensional vector space R^2. Is there a way to get out of that an action on a circle?
Notes about quaternionic matrix groups. Goal is to relate quaternionic groups to complex groups. Edited Wednesday afternoon 11/5/14 to remove almost all coordinates.
Sixth problem set CANCELED.
Seventh problem set due Wednesday,
April 1. (An problem set from an old course was inadvertently
posted here until 3/17/20. That is not the actual Problem set Seven, which should be posted by March 20.
Seventh problem set
solutions, to be posted after class 4/1.
Eighth problem set due Wednesday,
April 8.
Eighth problem set
solutions, to be posted after class 4/8.
Ninth problem set due Wednesday,
April 15.
Ninth problem set
solutions, to be posted after class 4/15.
Tenth problem set due Wednesday,
April 22.
Tenth problem set
solutions, to be posted after class 4/22.
Eleventh problem set due Wednesday,
April 29.
Eleventh problem set
solutions, to be posted after class 4/29.
Twelfth problem set due Wednesday,
May 6.
Twelfth problem set
solutions, to be posted after class 5/6.